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Finding the Fourth Proportional to 844.62, 1,266.99 and 833.95

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Solution

The fourth proportional to 844.62, 1,266.99 and 833.95 is: 1,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.62 : 1,266.99 = 833.95 : x
  2. Step 2: Convert to fraction form
    844.62/1,266.99 = 833.95/x
  3. Step 3: Cross multiply
    844.62x = 1,266.99 × 833.95
  4. Step 4: Simplify right side
    844.62x = 1,056,606.31
  5. Step 5: Solve for x
    x = 1,056,606.31/844.62
  6. Step 6: Final answer
    x = 1,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.